# Probability problems

1. Suppose you have 3 nickels, 2 dimes, and 6 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that

a. You will draw a dime?

b. You will draw a half-dollar?

c. You will draw a quarter?

2. You are rolling a pair of dice, one red and one green. What is the probability of the following outcomes:

a. The sum of the two numbers you roll from the dice is 11.

b. The sum of the two numbers you roll is 7.

c. The sum of the two numbers you roll is 13.

3. For this question pretend you are drawing cards without replacement from the infamous "Iraq's Most Wanted" deck issued by the U.S. Military. If you are drawing from the full deck of 55 cards, what are the following probabilities:

a. You draw a card that is not Saddam Hussein

b. You draw three cards, which end up being Saddam Hussein and his two sons.

c. You draw 14 cards and not one of them is Saddam Hussein [note: this is a tough one, remember to show your work

You have administered a standardized test of manual dexterity to two groups of 10 semi skilled workers. One of these two groups of workers will be employed by you to work in a warehouse with many fragile items. The higher the manual dexterity of a worker the less likelihood that worker will break significant inventory. Because of a unique contract you must hire all 10 employees from one of the two groups and none of the employees from the other.

Group A Scores

98

85

30

66

99

95

57

62

99

100

Group B Scores

64

81

62

88

82

79

90

81

85

79

You must decide which group to choose. Choose at least two measures of central tendency and at least one measure of dispersion for each group and use those to make your choice. Be sure to justify your choice with at least one page of discussion and analysis.

#### Solution Summary

This posting contains solutions to following 4 problems.